%0 Journal Article
%T Geometry of Numbers
%A Lin Weng
%J Mathematics
%D 2011
%I arXiv
%X We develop a global cohomology theory for number fields by offering topological cohomology groups, an arithmetical duality, a Riemann-Roch type theorem, and two types of vanishing theorem. As applications, we study moduli spaces of semi-stable lattices, and introduce non-abelian zeta functions for number fields.
%U http://arxiv.org/abs/1102.1302v2